# Engineering Mechanics

Proceedings Vol. 32 (2026)

ENGINEERING MECHANICS 2026

Copyright © 2026 Institute of Thermomechanics of the Czech Academy of Sciences, Prague

 

Skorupa A., Piasecka-Belkhayat A.
pages 113 - 116, full text

Biological tissues are often modelled as homogeneous materials, but their structure can also be treated as a porous medium. In addition, models of biological processes contain uncertain quantities that are introduced as deterministic numbers. The article presents a numerical simulation of the cryopreservation process of articular cartilage, using homogeneous and porous material models (Analyses 1 and 2). Analysis 1 considers the uncertainty of thermophysical parameters by introducing interval set theory. The mathematical model includes a description of coupled heat and mass transfer phenomena, and the diffusion coefficient is estimated using the Einstein-Stokes equation in Analysis 1 and using a relationship that accounts for the porous structure of the sample in Analysis 2. Finally, the simulation results are compared with the experimental data for validation. The maximum relative error equals 15.82% for Analysis 1 and 24.96% for Analysis 2.

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